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Finding the Fourth Proportional to 9,342.90, 14,014.32 and 6,412.32

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Solution

The fourth proportional to 9,342.90, 14,014.32 and 6,412.32 is: 9,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.90 : 14,014.32 = 6,412.32 : x
  2. Step 2: Convert to fraction form
    9,342.90/14,014.32 = 6,412.32/x
  3. Step 3: Cross multiply
    9,342.90x = 14,014.32 × 6,412.32
  4. Step 4: Simplify right side
    9,342.90x = 89,864,304.42
  5. Step 5: Solve for x
    x = 89,864,304.42/9,342.90
  6. Step 6: Final answer
    x = 9,618.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.